Concept explainers
(a)
The net electric flux through the cube.
(a)
Answer to Problem 32P
Net electric flux through the cube is
Explanation of Solution
Below figure shows the electric field magnitude and its direction in all face’s of the cube.
Figure (1)
From Figure (1), it is shown that, the electric fields are perpendicular to the faces of the cube. Therefore, use Gauss law for net flux through the closed Gaussian surface.
Write the expression for net flux through the closed Gaussian surface.
Here,
Write the expression for net electric flux through cube.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, net electric flux through the cube is
(b)
The net charge inside the cube.
(b)
Answer to Problem 32P
The charge enclosed within the Gaussian surface (cube) is
Explanation of Solution
Write the expression for the charge enclosed within the Gaussian surface (cube) is.
Here,
Conclusion:
Substitute
Therefore, the charge enclosed within the Gaussian surface (cube) is
(c)
Whether the net charge could be a point charge.
(c)
Answer to Problem 32P
No, the net charge can’t be a point charge.
Explanation of Solution
No, single positive charge’s magnitude is
Conclusion:
Therefore, the net charge can’t be a point charge.
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Chapter 24 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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